Question 55

A number when divided by 18 leaves remainder 15. What is the remainder when the same number is divided by 6?

Solution

The number when divided by 18 leaves remainder 15, => Number is of the form = $$N=18k+15$$, where $$k$$ is a whole number.

Now, when $$N$$ is divided by 6, we get : $$\frac{18k+15}{6}$$

= $$(\frac{18k}{6})+(\frac{15}{6})$$

$$18k$$ is completely divisible by 6, hence the second term will determine the remainder.

=> Remainder when 15 is divided by 6 is $$15\%6=3$$

=> Ans - (A)

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